Difference between revisions of "Pick's Theorem"
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| − | Pick's | + | '''Pick's Theorem''' expresses the area of a polygon with all its vertices on [[lattice points]] in a coordinate plane in terms of the number of lattice points inside the polygon and the number of lattice points on the sides of the polygon. The formula is: |
<math>A = I + \frac{B}{2} - 1</math> | <math>A = I + \frac{B}{2} - 1</math> | ||
Revision as of 11:33, 5 November 2006
Pick's Theorem expresses the area of a polygon with all its vertices on lattice points in a coordinate plane in terms of the number of lattice points inside the polygon and the number of lattice points on the sides of the polygon. The formula is:
with 
being the number of interior lattice points, and 
being the number of lattice points on the boundary.
Proof
some one edit one in please...
